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Finding the Third Proportional to 333,509,494 and 724,430,758

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Solution

The third proportional to 333,509,494 and 724,430,758 is: 1,573,568,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,509,494 : 724,430,758 = 724,430,758 : x
  2. Step 2: Convert to fraction form
    333,509,494/724,430,758 = 724,430,758/x
  3. Step 3: Cross multiply
    333,509,494x = 724,430,758 × 724,430,758
  4. Step 4: Simplify right side
    333,509,494x = 524,799,923,136,454,592
  5. Step 5: Solve for x
    x = 524,799,923,136,454,592/333,509,494
  6. Step 6: Final answer
    x = 1,573,568,166.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.